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HACTEHA [7]
3 years ago
10

What is the slope of a line that is perpendicular to 4x-8y=64

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer

Slope: -2

Step-by-step explanation:

Perpendicular slope is the negative reciprocal of the original slope.

The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.

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Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a
Alecsey [184]

Given Information:

Mean weekly salary = μ = $490

Standard deviation of weekly salary = σ = $45

Required Information:

P(X > $525) = ?

Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

The z-score corresponding to 0.78 from the z-table is 0.7823

P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

3 0
3 years ago
Determine whether (3,2) is a solution of y = 3x +2.​
Snowcat [4.5K]

Answer:

This point is not a solution to the equivalence

Step-by-step explanation:

Becouse if we put x= 3 then y= 11

y = 3 \times 3 + 2 = 11

6 0
2 years ago
The figure below shows a line graph and two shaded triangles that are similar: A line is shown on a coordinate grid. The x-axis
german

Answer:

D -  The slope from point O to point A is three times the slope of the line from point A to point B.

6 0
2 years ago
What is the value of the expression 2 x 33 + 17 + 5 x 8
snow_lady [41]

Answer:

Correct answer of this question is 123

5 0
2 years ago
Calvin bought 2 t-shirts for $50, and Bradley bought 4 t-shirts for 490. Did they pay the same rate? Explain your reasoning.
Snezhnost [94]

Answer:

490 devided by 4 is 122.5 which is the amount Bradley payed per shirt, Calvin only payed 50 dollars per shirt. No the pay is not the same and the difference is 72.5

Step-by-step explanation:

(p.s this is just what I got from this so im not 100 percent sure)

5 0
3 years ago
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